1.

Consider a chessboard of size 8 units xx8 units (i.e., each small square on the board has a side length of 1 unit). Let S be the set of all the 81 vertices of all the squares on the board. What is number of line segments whose vertices are in S_(1) and whose length is a positive integer? (The segments need not be parallel to the sides of the board).

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ANSWER :780


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